Question

Desperate For Help!!!!!!! Will Medal !!!

Answer 1

Suppose that an airplane is flying over a runway. The airplane can be modeled as point A and the airway tower and airway hangar can be modeled by point B and C respectively. In addition, the runway can be modeled by plane D. Using these points and plane, which statement is true?

Exactly one plane contains points A, B, C
A, B, and C are non-coplanar.
The line containing A and B lies in plane D
There are two lines through A and C.

Answer 2

the first statement is true. the airplane is above plane D, so the point A cannot be in D. this means a line containing A cannot be contained in D; therefore, statement 3 must be false. there is exactly one line through any two points, so the last statement must be false. also, through any three non-collinear points, there exists exactly one plane. Plane D contains B and C, and A lies outside plane D, thus A, B, and C are non-collinear. Thus, the second statement is false. Since A, B, Care not collinear, there exists exactly one plane. Therefore, statement 1 must be true

Answer 3

@adrimit thanks